Final answer:
The volume of the rectangular object is 8.0 cm³, and its density is calculated to be 4.0 g/cm³ when using the mass of 32.0 grams.
Step-by-step explanation:
To find the volume of a rectangular object, we use the formula for volume of a rectangular prism, which is Volume = length × width × height. In this case, the dimensions provided are 1.0 cm (length), 2.0 cm (width), and 4.0 cm (height), so the volume is:
Volume = 1.0 cm × 2.0 cm × 4.0 cm = 8.0 cm³.
Once the volume is calculated, we can determine the density using the known mass of the object (32.0 grams). The density, D, is defined as mass divided by volume. Therefore, the density of the object is:
Density = Mass / Volume = 32.0 g / 8.0 cm³ = 4.0 g/cm³.
To express the density to the nearest tenth, it is 4.0 g/cm³ as there are no decimal places to consider.